collaborators

5 papers

math.OA2024

Automatic continuity of biorthogonality preservers between compact C-algebras and von Neumann algebras

Mar\' ia Burgos, Jorge J. Garcés, Antonio M. Peralta

We prove that every biorthogonality preserving linear surjection between two dual or compact C-algebras or between two von Neumann algebras is automatically continuous.

math.OA2024

Generalised triple homomorphisms and Derivations

Jorge J. Garcés, Antonio M. Peralta

We introduce generalised triple homomorphism between Jordan Banach triple systems as a concept which extends the notion of generalised homomorphism between Banach algebras given by…

math.OA2024

A Kaplansky Theorem for JB*-triples

Francisco J. Fernández-Polo, Jorge J. Garcés, Antonio M. Peralta

Let be a non-necessarily continuous triple homomorphism from a (complex) JB-triple (respectively, a (real) JB-triple) to a normed Jordan triple. The foll…

math.OA2024

Automatic continuity of biorthogonality preservers between weakly compact JB-triples and atomic JBW-triples

María Burgos, Jorge J. Garcés, Antonio M. Peralta

We prove that every biorthogonality preserving linear surjection from a weakly compact JBtriple containing no infinite dimensional rank-one summands onto another JB-triple…

math.OA2024

Complete orthogonality preservers between C-algebras

Jorge J. Garcés

We introduce -orthogonality (and completely orthogonality) preserving operators between C-algebras. Our main theorem states that every completely orthogonality preserving bo…